Fold 2 - Understanding why coefficient -4025525 was selected
Tag: COTTON-BLEND
Selected Coefficient: -4025525
Taxonomy Path: -1.1.13.8
Taxonomy Name:
Products with this tag: 12
Unique residual values tried: 7
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| -4025525 | 3.025637 | -1.1.13.8 | -8.13.1.1 (-(8*79^3 + 13*79^2 + 79 + 1)) | Yes | |
| -6003922 | 3.026278 | -1.1.14.12 | -12.14.1.1 (-(12*79^3 + 14*79^2 + 79 + 1)) | No | |
| -4624661 | 3.026278 | -1.1.30.9 | -9.30.1.1 (-(9*79^3 + 30*79^2 + 79 + 1)) | No | |
| -3033285 | 3.088608 | -1.2.12.6 | -6.12.2.1 (-(6*79^3 + 12*79^2 + 2*79 + 1)) | No | |
| -10023206 | 10.012658 | -2.2.26.20 | -20.26.2.2 (-(20*79^3 + 26*79^2 + 2*79 + 2)) | No | |
| -9030966 | 10.012658 | -2.3.25.18 | -18.25.3.2 (-(18*79^3 + 25*79^2 + 3*79 + 2)) | No | |
| 8973681 | 11.000000 | 71.67.15.18 | 18.15.67.71 (18*79^3 + 15*79^2 + 67*79 + 71) | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 1118). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 11819 | Vadala Paisley Fashion Socks | 8973681 | ACCESSORIES, CHARCOAL, CLOTHING | 12999206 | SOCKS, UNDER-50 | ||
| 11792 | Vadala Paisley Fashion Socks | -3033285 | ACCESSORIES, CLOTHING | 992240 | SOCKS, UNDER-50 | ||
| 11380 | Vader Dotted Fashion Socks | -3033285 | ACCESSORIES, CLOTHING | 992240 | SOCKS, UNDER-50 | ||
| 11893 | Dwayne Slim Fit Chino Pants | -4025525 | CASUAL, 100-150, CLOTHING | 0 | DAVID-EDWARDS, CHINO | ||
| 11843 | Dennis Slim Fit Plaid Pants | -4025525 | CASUAL, 100-150, CLOTHING | 0 | DAVID-EDWARDS, CHINO, PLAID | ||
| 11845 | Donnie Turtleneck Sweater | -4025525 | CASUAL, 50-100 | 0 | DAVID-EDWARDS | ||
| 11857 | Dwayne Slim Fit Chino Pants | -4025525 | CASUAL, 100-150, CLOTHING | 0 | DAVID-EDWARDS, CHINO | ||
| 11878 | Dwayne Slim Fit Chino Pants | -4025525 | CASUAL, 100-150, CLOTHING | 0 | DAVID-EDWARDS, SAND, CHINO | ||
| 11804 | Vago Paisley Fashion Socks | -4624661 | ACCESSORIES, CLOTHING | -599136 | SOCKS, UNDER-50 | ||
| 11830 | The Union - Tattered V2 | -6003922 | 50-100, CLOTHING | -1978397 | none | ||
| 11803 | Vaca Diamond Fashion Socks | -9030966 | BLUE, ACCESSORIES, CLOTHING | -5005441 | SOCKS, UNDER-50 | ||
| 11834 | Donnie Turtleneck Sweater | -10023206 | CASUAL, BLUE, 50-100 | -5997681 | DAVID-EDWARDS |